Analysis and Approaches for IBDP Maths Ebook 1 | Page 24

Your Practice Set – Analysis and Approaches for IBDP Mathematics SUMMARY POINTs � Summary of transformations: f ( kx ) kf ( x ) f( x ) x f ( x) � f ( x) � k : Translate upward by k units f ( x) � f ( x) � k : Translate downward by k units f ( x) � f ( x � h) : Translate to the left by h units f ( x) � f ( x � h) : Translate to the right by h units f ( x) � kf ( x) : Vertical stretch of scale factor k f ( x) � f ( kx) : Horizontal compression of scale factor k f ( x) �� f ( x) : Reflection about the x -axis f ( x) � f ( � x) : Reflection about the y -axis � ax � b Properties of rational function y � cx � d 1. 1 y � : Reciprocal function x 2. a y � : Horizontal asymptote c 3. d x �� : Vertical asymptote c Solutions of Chapter 3 16 SE Production Limited